10 citations · 34 across the 39 of their papers we have counts for
7 papers · 2 filters
On the trajectory of a light small rigid body in an incompressible viscous fluid
Marco Bravin, Šárka Nečasová
In this paper we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid bo…
On the regularity of weak solutions to the fluid-rigid body interaction problem
Boris Muha, Šárka Nečasová, Ana Radošević
We study a 3D fluid-rigid body interaction problem. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the rigid body is described by a sy…
Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations
Šárka Nečasová, Florian Oschmann
We consider the evolutionary compressible Navier-Stokes equations in a two-dimensional perforated domain, and show that in the subcritical case of very tiny holes, the density and…
Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid
Bum Ja Jin, Šárka Nečasová, Florian Oschmann +1
We consider a bounded domain and a rigid body moving inside a viscous compressible Newtonian fluid. We exploit the roughness of the b…
On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three
Marco Bravin, Šárka Nečasová
In this paper we study the evolution of a small rigid body in a viscous incompressible fluid, in particular we show that a small particle is not accelerated by the fluid in the lim…
Singular limit for the compressible Navier--Stokes equations with the hard sphere pressure law on expanding domains
Martin Kalousek, Sarka Necasova
The article is devoted to the asymptotic limit of the compressible Navier-Stokes system with a pressure obeying a hard--sphere equation of state on a domain expanding to the whole…